LCM of 601, 538, 264, 504, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 601, 538, 264, 504, 284 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 601, 538, 264, 504, 284. So, keep reading to learn more.
Given numbers are 601,538,264,504,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 601,538,264,504,284 is 63636798456.
Find LCM of 601,538,264,504,284 with Prime Factorization
| 2 | 601, 538, 264, 504, 284 |
| 2 | 601, 269, 132, 252, 142 |
| 2 | 601, 269, 66, 126, 71 |
| 3 | 601, 269, 33, 63, 71 |
| 601, 269, 11, 21, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 601 x 269 x 11 x 21 x 71 = 63636798456
Therefore, the lowest common multiple of 601,538,264,504,284 is 63636798456.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
601 x 538 x 264 x 504 x 284 = 12218265303552
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
601 : 1, 601
538 : 1, 2, 269, 538
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 601,538,264,504,284, is 1.
Now, the common factors can be found like this.
601:601
538:2x 269
264:2x 2x 2x 3x 11
504:2x 2x 2x 3x 3x 7
284:2x 2x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 3 = 192
Therefore, the value for common factors is 192.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 12218265303552/(1x192)
LCM = 12218265303552/192
LCM = 63636798456
Thus, we can understand that the LCM of 601,538,264,504,284 is 63636798456.
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FAQs on LCM of 601, 538, 264, 504, 284
1. What is the LCM of 601, 538, 264, 504, 284?
Answer: LCM of 601, 538, 264, 504, 284 is 63636798456.
2. How to calculate the LCM of 601, 538, 264, 504, 284?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 601, 538, 264, 504, 284.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.